Honors Problems and Solutions

a) The problem we started in class may help you study for the test. I have changed the numbers from the class example to make it more realistic

It began with a deuterium ( n,p) moving at 9 E6 m/s ( where E 6 means x 10 to the 6th) moving towards an He3 (2p,n). The He3 was moving toward the D at a speed such that the total momentum ( remember they are moving in opposite directions) was zero. Now find the velocity of the He3 and then the total KE before ( i.e. sum of KE of both particles). The fusion reaction adds an additional 3E-12 J to the KE. The fusion products that come out are a proton ( p) and a He4 (2p,2n). Find the total KE after and using the fact that total momentum is still zero find the speed of the p and the He4. mp = 1.67E-27 and mn is about the same.

b) Steam and turbine blade: The steam particle transfers 280 pods to the turbine and since it starts at 240 m/s and ends up at -40 m/s and has a mass of 1kg.

It also loses about 28000 J to the turbine blade since it s tarts with 28800 J of KE and ends with only 800 J.

c) Particle slowing down: force has x components -2E-9 N y component +1E-9 N or magnitude 2.24 at about 26 degrees above the negative x axis

d) sled total momentum is 630 N after being thrown off Anthony still has a velocity of 3 m/s forward and 195 pods of momentum. Now Ashli has 630 -195 = 435 pods and her
velocity = 435 /Mass = 435/40 = 10.875 m/s